TSTP Solution File: GEO177+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2GPRmzB0CV true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:57:10 EDT 2023
% Result : Theorem 0.59s 1.31s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 76 ( 23 unt; 13 typ; 0 def)
% Number of atoms : 146 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 449 ( 40 ~; 67 |; 3 &; 326 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 152 ( 0 ^; 152 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(equal_points_type,type,
equal_points: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(orthogonal_through_point_type,type,
orthogonal_through_point: $i > $i > $i ).
thf(equal_lines_type,type,
equal_lines: $i > $i > $o ).
thf(incident_point_and_line_type,type,
incident_point_and_line: $i > $i > $o ).
thf(parallel_through_point_type,type,
parallel_through_point: $i > $i > $i ).
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(con,conjecture,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_points @ U @ V ) )
=> ( ( ( apart_point_and_line @ X @ ( line_connecting @ U @ V ) )
| ( apart_point_and_line @ Y @ ( line_connecting @ U @ V ) ) )
=> ( ( apart_point_and_line @ U @ ( line_connecting @ X @ Y ) )
| ( apart_point_and_line @ V @ ( line_connecting @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_points @ U @ V ) )
=> ( ( ( apart_point_and_line @ X @ ( line_connecting @ U @ V ) )
| ( apart_point_and_line @ Y @ ( line_connecting @ U @ V ) ) )
=> ( ( apart_point_and_line @ U @ ( line_connecting @ X @ Y ) )
| ( apart_point_and_line @ V @ ( line_connecting @ X @ Y ) ) ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl51,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax1,axiom,
! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ~ ( equal_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl60,plain,
~ ( equal_points @ sk_ @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl38]) ).
thf(occu1,axiom,
! [L: $i,M: $i] :
( ( unorthogonal_lines @ L @ M )
| ( convergent_lines @ L @ M ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( unorthogonal_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[occu1]) ).
thf(ceq3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( convergent_lines @ X @ Z ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( convergent_lines @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X1 @ X0 )
| ( convergent_lines @ X1 @ X2 )
| ( distinct_lines @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(apart3,axiom,
! [X: $i] :
~ ( convergent_lines @ X @ X ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl936,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ X1 @ X0 )
| ( unorthogonal_lines @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl2]) ).
thf(ooc1,axiom,
! [A: $i,L: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl962,plain,
! [X0: $i,X1: $i] : ( distinct_lines @ X0 @ ( orthogonal_through_point @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl24]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( equal_points @ X0 @ X1 )
| ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(apart4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X0 @ X2 )
| ( distinct_points @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart4]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( equal_points @ X1 @ X0 )
| ( distinct_points @ X0 @ X2 )
| ( distinct_points @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl3]) ).
thf(cu1,axiom,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_lines @ U @ V ) )
=> ( ( apart_point_and_line @ X @ U )
| ( apart_point_and_line @ X @ V )
| ( apart_point_and_line @ Y @ U )
| ( apart_point_and_line @ Y @ V ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apart_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X2 @ X1 )
| ~ ( distinct_points @ X2 @ X0 )
| ~ ( distinct_lines @ X1 @ X3 )
| ( apart_point_and_line @ X2 @ X3 )
| ( apart_point_and_line @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[cu1]) ).
thf(zip_derived_cl216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( distinct_points @ X4 @ X0 )
| ( equal_points @ X1 @ X4 )
| ( apart_point_and_line @ X0 @ X2 )
| ( apart_point_and_line @ X1 @ X2 )
| ~ ( distinct_lines @ X3 @ X2 )
| ( apart_point_and_line @ X1 @ X3 )
| ( apart_point_and_line @ X0 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl10]) ).
thf(a4,axiom,
! [X: $i,Y: $i] :
( ( incident_point_and_line @ X @ Y )
<=> ~ ( apart_point_and_line @ X @ Y ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ~ ( incident_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(ax2,axiom,
! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X0 @ X1 )
| ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(apart5,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_lines @ X @ Y )
=> ( ( distinct_lines @ X @ Z )
| ( distinct_lines @ Y @ Z ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_lines @ X0 @ X1 )
| ( distinct_lines @ X0 @ X2 )
| ( distinct_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart5]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( equal_lines @ X1 @ X0 )
| ( distinct_lines @ X0 @ X2 )
| ( distinct_lines @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl4]) ).
thf(apart2,axiom,
! [X: $i] :
~ ( distinct_lines @ X @ X ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
~ ( distinct_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart2]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ X1 @ X0 )
| ( equal_lines @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1]) ).
thf(p1,axiom,
! [X: $i,Y: $i] :
( ( distinct_lines @ X @ Y )
=> ( convergent_lines @ X @ Y ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ~ ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl314,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X0 @ X1 )
| ( convergent_lines @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl14]) ).
thf(cp1,axiom,
! [X: $i,Y: $i] :
~ ( convergent_lines @ ( parallel_through_point @ Y @ X ) @ Y ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[cp1]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i] : ( equal_lines @ X0 @ ( parallel_through_point @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl15]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( incident_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(ceq2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( apart_point_and_line @ X @ Z ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq2]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_point_and_line @ X1 @ X0 )
| ( apart_point_and_line @ X1 @ X2 )
| ( distinct_lines @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl12]) ).
thf(cp2,axiom,
! [X: $i,Y: $i] :
~ ( apart_point_and_line @ X @ ( parallel_through_point @ Y @ X ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[cp2]) ).
thf(zip_derived_cl845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( distinct_lines @ X2 @ ( parallel_through_point @ X1 @ X0 ) )
| ( incident_point_and_line @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl16]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( distinct_lines @ X0 @ X1 )
| ~ ( equal_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_point_and_line @ X0 @ X2 )
| ~ ( equal_lines @ X2 @ ( parallel_through_point @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl845,zip_derived_cl40]) ).
thf(zip_derived_cl2643,plain,
! [X0: $i,X1: $i] : ( incident_point_and_line @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl2597]) ).
thf(zip_derived_cl2648,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl2643]) ).
thf(zip_derived_cl2699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( apart_point_and_line @ X0 @ X3 )
| ( apart_point_and_line @ X1 @ X3 )
| ~ ( distinct_lines @ X3 @ X2 )
| ( apart_point_and_line @ X1 @ X2 )
| ( equal_points @ X1 @ X4 )
| ( distinct_points @ X4 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl2648]) ).
thf(zip_derived_cl2648_001,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl2643]) ).
thf(zip_derived_cl2700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( distinct_points @ X4 @ X0 )
| ( equal_points @ X1 @ X4 )
| ( apart_point_and_line @ X1 @ X2 )
| ~ ( distinct_lines @ X3 @ X2 )
| ( apart_point_and_line @ X1 @ X3 ) ),
inference(clc,[status(thm)],[zip_derived_cl2699,zip_derived_cl2648]) ).
thf(zip_derived_cl2648_002,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl2643]) ).
thf(zip_derived_cl2701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( apart_point_and_line @ X1 @ X3 )
| ~ ( distinct_lines @ X3 @ X2 )
| ( equal_points @ X1 @ X4 )
| ( distinct_points @ X4 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2700,zip_derived_cl2648]) ).
thf(zip_derived_cl2648_003,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl2643]) ).
thf(zip_derived_cl2702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( distinct_points @ X4 @ X0 )
| ( equal_points @ X1 @ X4 )
| ~ ( distinct_lines @ X3 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2701,zip_derived_cl2648]) ).
thf(zip_derived_cl2716,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( equal_points @ X3 @ X2 )
| ( distinct_points @ X2 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl2702]) ).
thf(apart1,axiom,
! [X: $i] :
~ ( distinct_points @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl2738,plain,
! [X0: $i,X1: $i] : ( equal_points @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2716,zip_derived_cl0]) ).
thf(zip_derived_cl2744,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl2738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2GPRmzB0CV true
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 21:09:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.70 % Total configuration time : 435
% 0.22/0.70 % Estimated wc time : 1092
% 0.22/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.31 % Solved by fo/fo5.sh.
% 0.59/1.31 % done 805 iterations in 0.494s
% 0.59/1.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.31 % SZS output start Refutation
% See solution above
% 0.59/1.31
% 0.59/1.31
% 0.59/1.31 % Terminating...
% 5.27/1.38 % Runner terminated.
% 5.27/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------